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Jet001 [13]
3 years ago
15

9. Which ordered pair is a solution of the system of inequalities shown in the

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

c

Step-by-step explanation:

cause if you look at the thing o minus -1

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Mr Oneill bought cheese, turkey slices and wheat rolls for $55. The ratio of the amount of money spent on cheese to the amount o
astra-53 [7]

Answer:

Mr. O'neill buy 33 turkey slices.

Step-by-step explanation:

Firstly let us denote <em>amount of money spent on Cheese by the symbol C.</em>

<em>                                  amount of money spent on Turkey by the symbol T.</em>

<em>                                   amount of money spent on Wheat by the symbol W.</em>

Now we are the ratio of amount of money spent on cheese to the amount of money spent on turkey slices as 2:3 ;

       We can represent this as  \frac{C}{T} = \frac{2}{3}

The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5 ;

        We can represent this as  \frac{C}{W} = \frac{6}{5}

Now we will make C also 6 in the first ratio to represent similarity in ratios i.e.     \frac{C}{T} = \frac{2 * 3}{3 * 3} = \frac{6}{9}

So, the ratio of amount of money spent on cheese to the amount of money spent on turkey slices to the amount of money spent on wheat rolls is represented by 6 : 9 : 5.

To find the amount of money spent on turkey slices = \frac{9}{6+9+5} * $55 = $24.75

Since cost of each turkey slice cost = $ 0.75

Therefore, Cost of each turkey slice * Number of turkey slices = Total amount of money spent on turkey slices

    $0.75 * Number of turkey slices = $24.75

Therefore, Number of turkey slices that Mr. O'neill buy = $24.75/$0.75

                                                                                            = 33 slices.

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Answer:

Step-by-step explanation:

Area of outer triangle = \dfrac{4x*(4x+3)}{2}= 2x*(4x +3)

                                    = 2x*4x + 2x*3

                                   = 8x² + 6x

Area of inner triangle= \dfrac{2x*(2x+5)}{2}=x*(2x+5)=x*2x+x*5=2x^{2} + 5x

Area of aluminium = area of outer triangle - area of inner triangle

                        = 8x² + 6x + 2x² + 5x

                        = 10x² + 11x

Area of 20 aluminum borders = 20*(10x² + 11x)  = 200x² + 220x

b) x = 25 cm

Area of 20 aluminum borders = 200*25² + 220*25

                                                  = 200 * 625 + 220*25

                                                 = 125000  + 5500

                                                  = 130500 cm²

c) Area of inner triangle (Glass) = 5500 cm²

Cost of aluminium = 130500 * 0.06 = $ 7830

Cost of glass = 5500 * 0.03 = $ 165

Cost of making 20 windows =  7830 + 165 = $ 7995

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